Remark 2.9 If \(B\)  is a smooth projective curve, then for \(n >\!> 0\) , the Quot scheme \(Q^{ss}_n(P)\)  is smooth (see [1]}). Consequently, for a HN type \(\tau \)  of a vector bundle on a smooth projective curve, the HN stratum \(S_\tau \)  is also smooth for \(n >\!> 0\) , as \(Z_\tau ^{ss}\)  is isomorphic to a product of smooth schemes by (REF ).

